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katovenus [111]
2 years ago
8

Please Help with problems 7-10!!!!

Mathematics
1 answer:
Ahat [919]2 years ago
5 0

Answer:

7) 3m + 21

8) 8t + 12

9) 45 + 30r

10) 32n - 16n or just 16n

Step-by-step explanation:

just use the distributive property

<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>

<em><u>-XxDeathshotxX</u></em>

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Answer:

The answer is 3 days

Step-by-step explanation:

Divide 48/16=3

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3 years ago
GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture)
Orlov [11]

Given:

The base of the given triangle has two part:

Left( left side of the hypotenuse) = 25

Right ( right side of the hypotenuse) = x

The altitude (h) = 60

To find the value of x.

Formula:

By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,

\frac{left}{altitude} =\frac{altitude}{right}

Now,

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\frac{25}{60} =\frac{60}{x}

or, (25)(x )=(60)(60) [ by cross multiplication]

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or, x = 144

Hence,

The value of x is 144.

6 0
2 years ago
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A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche
Zinaida [17]

Answer:

L  =  23 in

h  = 46  in

Step-by-step explanation:

Let call  " x "  and  " y "  dimensions of the print area of the poster then:

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We also know that dimensions of the poster is:

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Therefore area of the poster is:

A(p)  = ( x + 2 ) * ( y + 4 )  And area as function of x is:

A(x)  =   ( x + 2 ) * ( 882/x + 4 )

A(x)  =  882 + 4*x + 1764 /x  + 8

Taking derivatives on both sides of the equation we have:

A´(x)  =  4  - 1764/x²

A´(x)  = 0      ⇒      4  - 1764/x² = 0      ⇒ 4*x² - 1764  =  0

x²  =  1764 / 4

x²  = 441

x  = 21 in      and    y  =  882/x         y  = 42

The second derivative  A´´(x)  is > 0  ( the second term changes its sign to +) there is a minimum for the function at the point      x = 21

As x   and  y are dimensions of the printing area of the poster, dimensions of the poster  are

L  = x  +  2   =   21  + 2  =  23 in   and

h = y  +  4   =   42  + 4  =  46  in

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